Stair Stringer Attachment
How you attach the stair stringers to the top of the deck and to any landings will be critical. You should reinforce the rim behind the stairs to provide a solid base for attachment. Use positive connections to install stair stringers using stair stringer connectors to the front face of the rim to provide adequate support.
If your first tread steps down from the deck, you must extend the rim joist to create a solid surface below the deck rim to attach it to. You should attach 2x6 or 2x8 support framing under the rim flush to the bottom of the stringer.